In: Statistics and Probability
Do teachers find their work rewarding and satisfying? An article in Psychological Reports reported the results of a survey of a random sample of 395 elementary teachers and 266 high school teachers. Of the elementary school teachers, 224 said that they were very satisfied with their jobs, whereas 166 of the high school teachers were very satisfied with their work.
a. Based on this data, is it reasonable to conclude that the proportion of very satisfied teachers is different for elementary teachers than it is for high school teachers? Please state conclusion properly with context.
b. Construct and interpret a 95% Confidence Interval in the context of the above scenario.
c. How do the results in Part a and b compare? Do the results contradict each other?